Information on Result #655746
Linear OA(8172, 386, F81, 48) (dual of [386, 314, 49]-code), using construction X applied to AG(F,320P) ⊂ AG(F,329P) based on
- linear OA(8164, 369, F81, 48) (dual of [369, 305, 49]-code), using algebraic-geometric code AG(F,320P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8155, 369, F81, 39) (dual of [369, 314, 40]-code), using algebraic-geometric code AG(F,329P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(818, 17, F81, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,81)), using
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), using
- Reed–Solomon code RS(73,81) [i]
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9144, 772, F9, 48) (dual of [772, 628, 49]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8172, 193, F81, 2, 48) (dual of [(193, 2), 314, 49]-NRT-code) | [i] | OOA Folding | |